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Finding the Third Proportional to 399,552,690,185 and 932,321,829,196

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Solution

The third proportional to 399,552,690,185 and 932,321,829,196 is: 2,175,492,781,172.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,552,690,185 : 932,321,829,196 = 932,321,829,196 : x
  2. Step 2: Convert to fraction form
    399,552,690,185/932,321,829,196 = 932,321,829,196/x
  3. Step 3: Cross multiply
    399,552,690,185x = 932,321,829,196 × 932,321,829,196
  4. Step 4: Simplify right side
    399,552,690,185x = 869,223,993,195,375,458,516,992
  5. Step 5: Solve for x
    x = 869,223,993,195,375,458,516,992/399,552,690,185
  6. Step 6: Final answer
    x = 2,175,492,781,172.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.